YOU SAID:
Right now I am still awake at 4 in the morning
INTO JAPANESE
今はまだ朝4時に起きています
BACK INTO ENGLISH
I am still awake at 4 am
INTO JAPANESE
私はまだ午前4時に起きています
BACK INTO ENGLISH
I am still awake at 4 am
That didn't even make that much sense in English.